104033120 has 48 divisors (see below), whose sum is σ = 247348080. Its totient is φ = 41347584.

The previous prime is 104033119. The next prime is 104033143. The reversal of 104033120 is 21330401.

It is a junction number, because it is equal to n+sod(n) for n = 104033095 and 104033104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24086 + ... + 28074.

It is an arithmetic number, because the mean of its divisors is an integer number (5153085).

Almost surely, 2^104033120 is an apocalyptic number.

104033120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123674040).

104033120 is an abundant number, since it is smaller than the sum of its proper divisors (143314960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104033120 is a wasteful number, since it uses less digits than its factorization.

104033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4167 (or 4159 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 104033120 is about 10199.6627395223. The cubic root of 104033120 is about 470.3168528900.

Adding to 104033120 its reverse (21330401), we get a palindrome (125363521).

The spelling of 104033120 in words is "one hundred four million, thirty-three thousand, one hundred twenty".